Overview

Concise Segmentometry is the very first textbook on Segmentometry, which is a new branch of Mathematics. Segmentometry offers new methods for analyzing smooth regular curves, by treating such curves as parts of a segment. Thus, through Segmentometry, some operations that were hitherto performed only through the Calculus, can now be carried out using new techniques. Furthermore, since the methods of Segmentometry are based mostly on simple basic Mathematics, entry-level students of Mathematics can develop some degree of proficiency and confidence in handling curves, without having mastered advanced topics in Mathematics. In addition to the analysis of curves, Concise Segmentometry contains some very interesting topics such as Cyclic Expansion: a new method for expanding the square root of a sum or the square root of a difference; The CycloBinomial Theorem, which is a new method for expanding Binomials, that is more concise and elegant than the usual Binomial Theorem; CycloTrigonometric relations, which are new trigonometric identities derived using Cyclic Expansion, and the CycloComplex numbers, which can be analyzed exhaustively to provide a solution to the square root of negative numbers, opening the doors to a whole new branch of Mathematics. Concise Segmentometry will be absolutely indispensable for Engineers and Engineering students, because it offers new (and simple) methods for solving many Engineering problems. It will also be extremely useful in Science Education, because its methods are based on simple and basic Mathematics, making them easy for beginning students to grasp, while simultaneously resulting in a level of proficiency in handling curves. Mathematicians will find its methods to be useful additions to their tool kit, while also finding opportunities for research, since it is a new field, with many avenues for expansion. Physicists (and all who work in the Physical Sciences) will also find Segmentometry very useful. The CycloComplex numbers will be of particular interest to workers in Quantum Physics.

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